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1014320240 = 245232919009
BaseRepresentation
bin111100011101010…
…100110001110000
32121200121210210022
4330131110301300
54034131221430
6244352223012
734064402603
oct7435246160
92550553708
101014320240
1148061489a
1224383aa68
131321b22bb
14989d833a
155e0ae4e5
hex3c754c70

1014320240 has 80 divisors (see below), whose sum is σ = 2545819200. Its totient is φ = 374685696.

The previous prime is 1014320221. The next prime is 1014320243. The reversal of 1014320240 is 420234101.

1014320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014320243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43856 + ... + 62864.

It is an arithmetic number, because the mean of its divisors is an integer number (31822740).

Almost surely, 21014320240 is an apocalyptic number.

1014320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272909600).

1014320240 is an abundant number, since it is smaller than the sum of its proper divisors (1531498960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1014320240 is a wasteful number, since it uses less digits than its factorization.

1014320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19074 (or 19068 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1014320240 is about 31848.3946220214. The cubic root of 1014320240 is about 1004.7508074200.

Adding to 1014320240 its reverse (420234101), we get a palindrome (1434554341).

The spelling of 1014320240 in words is "one billion, fourteen million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 3335 5336 6670 10672 13340 19009 26680 38018 53360 76036 95045 152072 190090 304144 380180 437207 551261 760360 874414 1102522 1520720 1748828 2186035 2205044 2756305 3497656 4372070 4410088 5512610 6995312 8744140 8820176 11025220 12679003 17488280 22050440 25358006 34976560 44100880 50716012 63395015 101432024 126790030 202864048 253580060 507160120 1014320240